Algebra/Geometry/Calculus skills check
Math Skills Check
Algebra, Geometry, and Calculus
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Algebra Skills Check
1) The average value of the numbers 13, 17, 22, 8, 9, and 3 is

2) 10 - x = -27      What does x equal?

3) 8x2 - 4x = 0 ;      What does x equal?

4) 8x2 - 4x = 4      What does x equal?

5) 4x - 3y = 3 and 3x - 2y = 4      What do x and y equal?

6) a = 4b/T      What does T equal?

7) i = b/(R + r)      What does R equal?

8) ax - bx = c      What does x equal?

9) 1/x = 1/10 + 1/20      What does x equal?

10) 3x3 - 4x = 0     What does x equal?


Geometry Skills Check
1) 225 degrees equals

2) (5/3)pi radians equals

3) The maximum value for the sine of an angle is

4) The minimum absolute value of the tangent of an angle is

5) In a right triangle, the side opposite a 37 degrees angle is 12 cm. The length of the hypotenuse is

6) The hypotenuse of a right triangle is 121/2 and the other side is 3. The length of the third side is

7) The hypotenuse of a right triangle is 121/2 and the other side is 3. The smallest angle in this triangle is

8) Suppose you walk 30 meters up a ramp which is propped up at a 20 degree angle. How far above the ground are you?

Use the figure shown below to answer questions 9, and 10

9) What does the angle x equal?

10) What does the angle y equal?



Calculus Skills Check
Use the graph of F(x) shown below to answer questions 1, 2, and 3 about F'(x) = dF/dx

1) F'(x) = 0 at the following points

2) F'(x) > 0 at the following points

3) F'(x) < 0 at the following points

4) If v(t) = cos(3t), what is v'(t)?

5) If g(t) = t2, what is g'(t1) when t1 = 3.3?

6) If f(t) = sin(t), what is f(t) + f''(t)?

7) If v(t) = 2ln(t), what is v'(t)?

Use the graph of F(x) shown below to answer questions 8, 9, and 10

8) The integral from the x value at A to the x value at B of F(x) is

9) The integral from the x value at C to the x value at D of F(x) is

10) The integral from the x value at A to the x value at C of F(x) is


write to jant@kzoo.edu